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3 years ago

If x=y and y=z which statement must be true

Mathematics

2 answers:

Volgvan3 years ago

7 0

Answer:

If x=y and y=z, then x=z

dezoksy [38]3 years ago

5 0

I cannot see the statements you are given as options, but if x = y, and y = z, you can write that as x = y = z, which means that x = z also.

I hope this helps!

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You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a

Andrews [41]

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in $P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$ , we get

$P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}$

$P(B|Head) = 0.6 \times \frac{0.5}{0.35}$

$P(B|Head) = 0.857$

Similarly.

$P(A|Head) = 0.857$

Hence, the probability that our guess is correct = 0.857.

7 0

4 years ago

How many lines of symmetry does the figure have? If the figure has no line symmetry, enter the number

Arlecino [84]

Answer:

One

Step-by-step explanation:

Line of symmetry of a figure is an imaginary line about which the figure can be divided into two equal halves.

In other words, a line passing the center of the figure about which we can fold the figure into two halves overlapping each other.

For the trapezoid given in the figure, line of symmetry will be a vertical line perpendicular to the parallel sides.

Therefore, The figure has 1 line of symmetry.

8 0

3 years ago

Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cm. (Plus could you tell me which sides i can use for starting the dia

SSSSS [86.1K]

Answer:

see attached

Step-by-step explanation:

I find it usually works well to draw the longest side first. Then draw arcs with radii equal to the other two side lengths. They will cross at an angle that makes the position of the third point easy to find.

4 0

3 years ago

Find the surface area. Use 3.14 for pi

Tatiana [17]

Answer:

S=1444.4

Step-by-step explanation:

they already gave the formula so

13 is the height, 10 is the radius

plug it in to the formula (using 3.14 for pi)

S=2(3.14)(10)^2+2(3.14)(10)(13)

S=628+816.4

S=1444.4

5 0

3 years ago

Read 2 more answers

What would the amplitude be? How do I find it? Should I add 1.25+6.75 then divide by 2 ?

Elis [28]

Answer:

2.75

Step-by-step explanation:

The amplitude is half of the difference between the highest and lowest y-coordinates.

amplitude = 0.5|6.75 - 1.25| = 0.5(5.5) = 2.75

3 0

3 years ago